Show that y = ax3 + bx2 + c is a solution of the differential equation
The differential equation is and the function to be proven as the solution is
y = ax3 + bx2 + c; now we need to find the value of .
Putting the value of variables in the equation,
6a = 6a
As, L.H.S = R.H.S. the equation is satisfied, hence this function is the solution of the differential equation.